Bilinear method for multi-component coupled integrable systems

2017 Fiscal Year Final Research Report

• Project/Area Number: 24340029
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Partial Multi-year Fund
• Section: 一般
• Research Field: Global analysis
• Research Institution: Kobe University
• Principal Investigator: Ohta Yasuhiro 神戸大学, 理学研究科, 教授 (10213745)
• Co-Investigator(Renkei-kenkyūsha): YAMADA Yasuhiko 神戸大学, 大学院理学研究科, 教授 (00202383) ; NOUMI Masatoshi 神戸大学, 大学院理学研究科, 教授 (80164672)
• Project Period (FY): 2012-04-01 – 2018-03-31
• Keywords: 結合型可積分系 / 双線形化法 / ソリトン

Outline of Final Research Achievements

For the integrable evolution equations, there are several methods to generalize them to the coupled systems of equations keeping the integrability, and those integrable coupled equations admit various types of solutions with many internal freedoms. It is important to study the multi-component coupled systems and their solutions systematically both in theoretical study and applications of integrable systems. Based on the theory of bilinear method in the classical integrable systems, the way of constructing new multi-component coupled integrable systems is proposed, and various types of interactions are described by using the internal freedoms of the solutions.

Free Research Field

応用数学